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Finding the Fourth Proportional to 205.17, 307.40 and 164.50

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Solution

The fourth proportional to 205.17, 307.40 and 164.50 is: 246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.17 : 307.40 = 164.50 : x
  2. Step 2: Convert to fraction form
    205.17/307.40 = 164.50/x
  3. Step 3: Cross multiply
    205.17x = 307.40 × 164.50
  4. Step 4: Simplify right side
    205.17x = 50,565.71
  5. Step 5: Solve for x
    x = 50,565.71/205.17
  6. Step 6: Final answer
    x = 246.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.